Engineering Board Exam Reviewer · Trigonometric Equations · medium

Find the largest solution of 2x= x in the interval 0°≤ x<360°.

1. 120°
2. 240°
3. 180°
4. 300°

Answer

B. 240°

Solution

2 2x-1= x (2 x+1)( x-1)=0. x=1 x=0°; x=- 12 x=120°,240°. The largest is 240°.

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